Small submodules with respect to an arbitrary submodule

Let R be an arbitrary ring and T be a submodule of an R-module M. A submodule N of M is called T-small in M provided for each submodule X of M, T\subseteq X+N implies that T\subseteq X. We study this mentioned notion which is a generalization of the small submodules and we obtain some related results.

کلیدواژه ها:

Small submodule ، T-small submodule ، T-maximal submodule